Answer and Explanation:
<em>Solving 3x + 2y = 9 for y gives y = -(3/2)x + (9/2).
</em>
Answer:
C
Step-by-step explanation:
In this technique, if we have to factorise an expression like ax2+bx+c, we need to think of 2 numbers such that:
N1⋅N2=a⋅c=1⋅−12=−12
AND
N1+N2=b=−1
After trying out a few numbers we get N1=3 and N2=−4
3⋅−4=−12, and 3+(−4)=−1
x2−x−12=x2−4x+3x−12
x(x−4)+3(x−4)=0
(x+3)(x−4)=0
Now we equate the factors to zero.
x+3=0,x=−3
x−4=0,x=4
Answer:
X=6
FG=31
GH=22
Step-by-step explanation:
Equation: FG+GH=FH
rewrite with values
4x+7 + 5x-8 = 53
combine like terms
9x-1 = 53
add 1 to both sides
9x = 54
divide by 9
x = 6
use 6 end solve for FG and GH
FG = 4(6) + 7 = 31
GH = 5(6) - 8 = 22
Check your answers.. Do FG and GH add up to equal FH (53)?
31 + 22 = 53
I hope this made sense.
ANSWER

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EXPLANATION


Let us make y the subject and call it equation (2)


We put equation (2) in to equation (1)



Simplify to get,


Divide both sides by 31,



We put this value in to equation (2) to get,


We collect LCM to obtain,

